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Title: Density functions for navigation function based systems
Authors: Jadbabaie, Ali
Loizou, Savvas 
Keywords: Dynamics;Navigation;Probabilities
Issue Date: 2006
Publisher: IEEE
Source: 45th IEEE Conference on Decision and Control, 2006, San Diego, California
Abstract: In this paper, we present a scheme for constructing density functions for systems that are almost globally asymptotically stable (i.e., systems for which all trajectories converge to an equilibrium except for a set of measure zero) based on Navigation Functions. Although recently-proven converse theorems guarantee the existence of density functions for such systems, results are only existential and the construction of a density function for almost globally asymptotically stable systems remains a challenging task. We show that for a specific class of dynamical systems that are defined based on a navigation function, a density function can be easily derived from the system's underlying navigation function.
ISSN: 01912216
Rights: © 2006 IEEE
Type: Conference Papers
Appears in Collections:Δημοσιεύσεις σε συνέδρια/Conference papers

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